Methop for determining airplane flight-path angle with the use of airspeed and the global positi0ning system (gps)

ABSTRACT

The angle of attack (AOA) of an airplane is calculated as the difference of the flight-path angle and the pitch angle. The pitch angle is available from an attitude monitoring device (e.g., pitch gyro), but the flight-path angle is not available from the basic instruments common in general aviation. This method determines the flight-path angle mathematically, and in particular, using inputs from indicated airspeed and GPS. The sine (trig function) of the flight-path angle is the value determined by dividing the vertical velocity, provided by onboard GPS, by the velocity along the flight path (e.g., indicated airspeed). The sine value is converted to the value of flight-path angle by referring to a sine lookup table.

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BACKGROUND OF THE INVENTION Technical Field

This invention relates to a method of determining the flight-path angle of an airplane, for the purpose of calculating the airplane's angle of attack (AOA).

Background Art

Angle of attack (AOA) is the angle between the approaching air and the plane of the wing, and it is a critical flight parameter for all airplanes (i.e., fixed-wing aircraft). At excessively high AOA, air will not be able to follow the contour over the wing, and it will separate from the wing surface. This phenomenon is known as “wing stall,” and when it occurs, the airplane becomes uncontrollable.

In aerodynamic terms, AOA is the difference of pitch angle (plus wing incidence angle, if any) minus flight-path angle. Pitch angle is the angle between the effective plane of the wing and the horizontal reference. Flight-path angle is the angle between flight-path direction and the horizontal reference.

FIG. 1 illustrates the relationships between AOA (1), pitch angle (2), and flight-path angle (3), giving the example of an airplane in a typical flight attitude for approach to landing.

When both pitch angle and flight-path angle are known values, a basic aerodynamic equation can be used to calculate AOA.

α=θ−γ

where:

α is angle of attack (AOA)

θ is pitch angle, and

γ is flight-path angle.

-   [Reference: Airplane Performance Stability and Control, Perkins and     Hage, Wiley, 1949 (ISBN 047168046X)]

The AOA at which wing stall will occur is a fixed value for a particular airplane design, regardless of the airplane's varying weight. However, instruments in many airplanes provide only indicated airspeed, as information for the pilot to avoid the wing stall angle. This requires the pilot to calculate or estimate the wing stall speed for each significant change in aircraft weight. Direct display of actual AOA information would avoid the problem of erroneous weight estimations, thus improving safety.

The most common method of directly measuring AOA is by a vane, which can align itself with local air flow, located somewhere on the fuselage of the airplane. This local air flow seldom represents the true free air flow throughout the full pitch range of the airplane, due to the effect of the airplane's presence on the air flow.

Some other systems measure AOA using static and/or dynamic air pressure sensors (e.g., static pressure pickups, pitot tubes, or the like), which must be installed on the airplane's exterior surface, usually on the wing. In some cases, installation of those sensors requires a physical retrofit alteration or modification of the airplane.

BRIEF SUMMARY OF THE INVENTION

This invention is a method to determine the flight-path angle of an airplane, using information that is readily available on most airplanes (i.e., indicated airspeed, and vertical velocity derived from GPS data). The resulting flight-path angle value enables further calculation to determine the angle of attack (AOA) of an airplane, using a basic aerodynamic equation.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1 shows an airplane in typical flight attitude for approach to landing. Lines (B) and (C) represent the pitch attitude and the horizontal reference, respectively. Vectors (A) and (D) represent the vertical velocity, and the flight path (direction and velocity), respectively. Arcs (1), (2), and (3) represent the angle of attack, the pitch angle, and the flight-path angle, respectively.

DETAILED DESCRIPTION OF THE INVENTION

This invention is a method, which involves simple calculation, and particular sources of information (i.e., data input to the calculation), to determine the flight-path angle of an airplane.

The method uses airspeed information (e.g. from the airplane's existing pitot-static tube) and vertical velocity information from the GPS (or similar system, e.g., SBAS, WAAS, DGPS, etc.).

The sine (trig function) of the flight-path angle is calculated as vertical velocity divided by airspeed. Thus, with known values of airspeed and vertical velocity, the value of the flight-path angle is determined by referring to a sine value lookup table.

Angle of attack (AOA) is defined as the difference of pitch angle and flight-path angle, so when both pitch angle and flight-path angle are known values, a basic aerodynamic equation can be used to calculate the AOA.

The pitch angle value is readily available from the attitude monitoring system (e.g., pitch gyro), which is common to almost all airplanes. Pitch angle is usually displayed to the pilot by an attitude indicator or artificial horizon instrument.

The main intended application of this invention is to supply a value of the flight-path angle, for use in calculating the AOA.

Using this invention, the full range of AOA, as well as the critical “do not exceed” point, could be presented to the pilot (e.g., on a separate instrument, or incorporated in existing instruments). This information would enhance situation awareness at all times, and enable the pilot to remain clear of the wing stall angle.

The takeoff and landing phases of airplane flight are the most critical, because the airplane must be flown at relatively high AOA. By using this invention, information could be provided and displayed in the cockpit to improve flight safety during these critical phases.

Key benefits of this invention are:

-   -   A method to determine true flight-path angle, free of possible         erroneous air flow measurements.     -   A method to provide accurate input for calculating AOA, based on         information already available in most airplanes. 

1. A method of determining the flight-path angle of an airplane, wherein the value is calculated, using input values derived from an onboard airspeed monitoring system (e.g., indicated airspeed), and a GPS device (vertical velocity), such calculation involving the following steps: a. Vertical velocity divided by airspeed, to arrive at the sine (trig function) of the flight-path angle. b. Sine value converted to flight-path angle value, using a sine lookup table.
 2. An algorithm, expressed in software or other programmatic form, which uses or embodies this invention, according to claim 1, for the purpose of ascertaining an airplane's flight-path angle and/or angle of attack (AOA).
 3. A system, or a component or module of such, which uses or embodies this invention, according to claim 1, and which further is designed or intended to monitor or record some characteristic of an airplane flight, or some event related to an airplane flight.
 4. A system, or a component or module of such, which uses or embodies this invention, according to claim 1, and which further is designed or intended to automatically adjust airplane controls related to flight-path angle or angle of attack (AOA). 